PYTHAGOREAN THEOREM
SQUARES 7 SQUARE ROOTS (No Calculator)
FIND THE MISSING SIDE)
DISTANCE ON THE COORDINATE PLANE
WORD PROBLEMS
100
What is the Pythagorean Theorem?
What is A squared +B squared = C squared
(AxA, BxB, add them, square root)
100
a=10, b=24, c=?
c = 26
100
Find the distance between the point (-2,1) and (3,-2)
6
100
Janice is flying a kite. The length of the kite string is 55 feet and she is positioned 40 feet away from beneath the kite. About how high is the kite?
37.7 ft
200
Which side of the right triangle is the longest - a, b, or c?
C
200
What is the square root of 49 sq.ft.?
7 ft
200
AB is 90 degrees with BC where AB = 7 cm, BC = 9 cm, find AC (1 d.p.)
11.4
200
Find the distance between (-1,0) and (5,0)
6
200
26in
300
What types of triangles does the Pythagorean Theorem work with?
RIGHT TRIANGLES ONLY
300
AB is 90 degrees with BC where AB = 18 cm, AC = 21 cm, find BC (1 d.p.)
10.8 cm
300
Find the distance between (5,3) and (-4,-3)
11
300
The measurements of a triangle are 12, 35, 37. Is this a RIGHT TRIANGLE?
YES
400
What is the name of the side opposite the right angle?
HYPOTENUSE
400
What is the square root of 1000 sq. meters?
10 m (meters)
400
a= ? , b=35, c=37
a=12
400
Find the distance between (10,11) and (-1,1)
15
400
A captain is on a geo-cache hunt. His GPS tells him that he is 40m away from the treasure. He walks 24m due west. The GPS compass now tells him that the treasure is due south from where he is standing. How far south does he need to go to find it?
32m
500
Draw and label a triangle with the measurements 3, 4, and 5.
LEGS = 3, 4
HYPOTENUSE = 5
500
Estimate the square root of 80 sq.inches.
9 in
500
If the two shorter sides of a right triangle are 4, what is the length of the third side, to the nearest tenth?
5.7
500
Find the distance between (3,-4) and (3,10)
14
500
20ft